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Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?
Wiki User
∙ 12y ago
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r
But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity)
mr2 is nothing but the moment of inertia of the moving body about the axis of rotation.
Hence L = I w.
Wiki User
∙ 12y ago
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The product of an object's rotational inertia and its rotational velocity is?
The object's angular momentum
What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
The product of an object's mass and velocity?
The product of an object's mass and velocity is called it's momentum. It is mostly called it's linear momentum to differentiate from the term angular momentum.
How does mass affect angular momentum?
Short answer: Angular momentum is proportional to mass. If you double the mass of an object, you double its angular momentum.Long Answer:Angular Momentum is a characteristic of rotating bodies that is basically analogue to linear momentum for bodies moving in a straight line.It has a more complex definition. Relative to an origin, one obtains the position of the object, the vector r and the momentum of the object, the vector p, and then the angular momentum is the vector cross product, L.L=r X p.Since linear momentum, p=mv, is proportional to mass, so is angular momentum.Sometimes we speak of the angular momentum about the center of mass of an object, in which case one must add all of the bits of angular momentum for all the bits of mass at all the positions in the object. That is easiest using calculus.It should also be said that the moment of inertia, I, is proportional to mass and another way to express angular momentum is the moment of inertia times the angular velocity.
Does a stationary object has interia and momentum?
A stationary object has inertia, but not momentum. Momentum is the product of (mass) times (velocity). If the velocity is zero, then the momentum is zero.
The product of an object's rotational inertia and its rotational velocity is?
The object's angular momentum
What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
What quantities are needed to calculate angular momentum?
"Rate of change" means that you divide something by time ("per unit time" or "per second"), so you would use the units of angular momentum, divided by seconds.I am not aware of any special name for this concept.
What is an angular momentum?
An angular momentum is the vector product which describes the rotary inertia of a system around its axis and is conserved in a closed system.
The product of an object's mass and velocity?
The product of an object's mass and velocity is called it's momentum. It is mostly called it's linear momentum to differentiate from the term angular momentum.
Why is momentum caused?
momentum is caused by inertia. all objects have inertia, which means if they are moving at a certain velocity or are at rest they will continue to move at that velocity or remain at rest unless acted on by a force. Objects of more mass have greater inertia, so the amount of momentum is equal to the product of an objects mass and the magnitude of its velocity.
How does mass affect angular momentum?
Short answer: Angular momentum is proportional to mass. If you double the mass of an object, you double its angular momentum.Long Answer:Angular Momentum is a characteristic of rotating bodies that is basically analogue to linear momentum for bodies moving in a straight line.It has a more complex definition. Relative to an origin, one obtains the position of the object, the vector r and the momentum of the object, the vector p, and then the angular momentum is the vector cross product, L.L=r X p.Since linear momentum, p=mv, is proportional to mass, so is angular momentum.Sometimes we speak of the angular momentum about the center of mass of an object, in which case one must add all of the bits of angular momentum for all the bits of mass at all the positions in the object. That is easiest using calculus.It should also be said that the moment of inertia, I, is proportional to mass and another way to express angular momentum is the moment of inertia times the angular velocity.
Does a stationary object has interia and momentum?
A stationary object has inertia, but not momentum. Momentum is the product of (mass) times (velocity). If the velocity is zero, then the momentum is zero.
What is the difference between linear momentum and angular momentum?
angular mmtm is a cross product unlike linear momentum
How are inertia and momentum related?
More or less the same thing. Different ways to describe similar effects of movement and resistance.
Why does momentum have a direction?
Because momentum is mass X velocity. Velocity has direction, otherwise it is speed.
